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Finding the Third Proportional to 108,033 and 143,355.75

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Solution

The third proportional to 108,033 and 143,355.75 is: 190,227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,033 : 143,355.75 = 143,355.75 : x
  2. Step 2: Convert to fraction form
    108,033/143,355.75 = 143,355.75/x
  3. Step 3: Cross multiply
    108,033x = 143,355.75 × 143,355.75
  4. Step 4: Simplify right side
    108,033x = 20,550,871,058.06
  5. Step 5: Solve for x
    x = 20,550,871,058.06/108,033
  6. Step 6: Final answer
    x = 190,227.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.